Step-by-step explanation:
The line above the letter means "complement". If X is a set, the the complement of X (denoted by X with a line above it) is the set of all things not in X...If X is a set, then the complement of X (denoted by X with a line above it) is the set of all things not in X.
Sorry if it was complicated
Answer:
x = 20
I am not sure if you wanted the answer. Sorry!
Step-by-step explanation:
Let's solve your equation step-by-step.
1/10 x + 5 = - 3x - 13 + 4x
Step 1: Simplify both sides of the equation.
1/10 x + 5 = - 3x - 13 + 4x
1/10 x + 5 = - 3x + - 13 + 4x
1/10 x + 5 = (<em>- 3x + 4x</em>) + (- 13)
1/10 x + 5 = <em>x</em> + - 13
1/10 x + 5 = x - 13
Step 2: Subtract x from both sides.
1/10 x + 5 - <em>x </em>= x - 13 - <em>x</em>
- 9/10 x + 5 = - 13
Step 3: Subtract 5 from both sides
- 9/10 x + 5 - <em>5</em> = - 13 - <em>5</em>
- 9/10 x = - 18
Step 4: Multiply both sides by 10/(- 9).
(<em>10/ - 9</em>) * (- 9/10 x) = (<em>01/ - 9</em>) * (- 18)
x = 20
Hope this helps!
Solve for d:
(3 (a + x))/b = 2 d - 3 c
(3 (a + x))/b = 2 d - 3 c is equivalent to 2 d - 3 c = (3 (a + x))/b:
2 d - 3 c = (3 (a + x))/b
Add 3 c to both sides:
2 d = 3 c + (3 (a + x))/b
Divide both sides by 2:
Answer: d = (3 c)/2 + (3 (a + x))/(2 b)
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Solve for x:
(3 (a + x))/b = 2 d - 3 c
Multiply both sides by b/3:
a + x = (2 b d)/3 - b c
Subtract a from both sides:
Answer: x = (2 b d)/3 + (-a - b c)
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Solve for b:
(3 (a + x))/b = 2 d - 3 c
Take the reciprocal of both sides:
b/(3 (a + x)) = 1/(2 d - 3 c)
Multiply both sides by 3 (a + x):
Answer: b = (3 (a + x))/(2 d - 3 c)
2^2x=5^x−1
Take the log pf both sides:
ln(2^2x) = ln(5^x-1)
Expand the logs by pulling the exponents out:
2xln(2) = (x-1)ln(5)
Simpligy the right side:
2xln(2) = ln(5)x - ln(5)
Now solve for x:
Subtract ln(5)x from both sides:
2xln(2) - ln(5)x = -ln(5)
Factor x out of 2xln(2)-ln(5)x
x(2ln(2) - ln(5)) = -ln(5)
Divide both sides by (2ln(2) - ln(5))
X = - ln(5) / (2ln(2) - ln(5))